The Open Automation and Control Systems Journal

2014, 6 : 788-791
Published online 2014 December 31. DOI: 10.2174/1874444301406010788
Publisher ID: TOAUTOCJ-6-788

Cyclic Codes of Length n Over F+µF+νF

Hualu Liu
16 Guilin Road(N), Huangshi, Hubei, China. Postcard: 435003.

ABSTRACT

We study the structure of cyclic codes of an arbitrary length n over the ring Fp+µFp+νFp , which is not a finite chain ring. We prove that the Gray image of a cyclic code over Fp+µFp+νFp is a 3-quasi-cyclic code over Fp.

Keywords:

Linear codes, cyclic codes, Gray map.